a balloon has the shape of a right circular cylinder of radius r and length I with a hemisphere at each end of radius r. The balloon is being filled at a rate of 7 cm /s in such a way that l increases four times as fast as r. Find the rate of change of r whenr = 5 cm and 1= 8 cm.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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a balloon has the shape of a right circular cylinder of radius r
and length I with a hemisphere at each end of radius r. The balloon is being filled at a rate of 7 cm3/s
in such a way that l increases four times as fast as r. Find the rate of change of r when r = 5 cm and
l = 8 cm.
Transcribed Image Text:a balloon has the shape of a right circular cylinder of radius r and length I with a hemisphere at each end of radius r. The balloon is being filled at a rate of 7 cm3/s in such a way that l increases four times as fast as r. Find the rate of change of r when r = 5 cm and l = 8 cm.
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